Pith Number

pith:5GMY3SLZ

pith:2004:5GMY3SLZVKHGNXVFOZVVKMCSRN

not attested not anchored not stored refs pending

Thermodynamics of quantum informational systems - Hamiltonian description

Michal Horodecki, Pawel Horodecki, Robert Alicki, Ryszard Horodecki

arxiv:quant-ph/0402012 v2 · 2004-02-02 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GMY3SLZVKHGNXVFOZVVKMCSRN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Quantum work beyond classical (commuting) limits

Receipt and verification

First computed	2026-07-04T14:48:04.463994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9998dc979aa8e66dea5766b5530528b4a2ddd693261264b2e3f2fda24bc1799

Aliases

arxiv: quant-ph/0402012 · arxiv_version: quant-ph/0402012v2 · doi: 10.48550/arxiv.quant-ph/0402012 · pith_short_12: 5GMY3SLZVKHG · pith_short_16: 5GMY3SLZVKHGNXVF · pith_short_8: 5GMY3SLZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5GMY3SLZVKHGNXVFOZVVKMCSRN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e9998dc979aa8e66dea5766b5530528b4a2ddd693261264b2e3f2fda24bc1799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "177da5b313fc84b78348ec4aeb1a7de128f2252e7cefcee34737dcf5cc27db8d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-02-02T16:43:55Z",
    "title_canon_sha256": "847944b27f956f4255f81e5ec0e26ffe7f5172c06330961a1d96466fd1dbe4a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0402012",
    "kind": "arxiv",
    "version": 2
  }
}